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Finding the Third Proportional to 183,530.25 and 340,359.75

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Solution

The third proportional to 183,530.25 and 340,359.75 is: 631,202.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,530.25 : 340,359.75 = 340,359.75 : x
  2. Step 2: Convert to fraction form
    183,530.25/340,359.75 = 340,359.75/x
  3. Step 3: Cross multiply
    183,530.25x = 340,359.75 × 340,359.75
  4. Step 4: Simplify right side
    183,530.25x = 115,844,759,420.06
  5. Step 5: Solve for x
    x = 115,844,759,420.06/183,530.25
  6. Step 6: Final answer
    x = 631,202.54

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These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.